Long Multiplication

0:02 Today we're going to be covering long division. My first question is how to

0:07 complete this equation. 7,752

0:14 divided by 17.

0:19 The first step is to write out my bus stop method. So, I'm going to write out

0:24 my dividend

0:28 and then I'm going to draw my bus stop and my divisor

0:33 is 17. When I divide, my answer will be the

0:40 quotient. The next step is to create a fact box

0:46 because my 17 times table isn't embedded.

0:50 Next, I'm going to draw my fact box. I'm going to make sure I've got 10

0:57 multiples of 17. So, I'll draw this box. So, I will have 1 * 17, 2 * 17

1:08 all the way up to 10 * 17. There are some facts that we know

1:17 automatically. We know that 1 * 17 is going to be 17. The next one I would

1:23 definitely know is my 10 * 17 which is going to be 10 times bigger. So 170.

1:31 My 2 * 17 I know that's double 17. That would give me 34.

1:38 My 4 * 17 I know will be double 34 which will give me 68.

1:45 Another one I can work out is my eights because I know that double my four times

1:52 four * 17 add 4 * 17 would be 8 * 17. So that one would give me

2:00 136. There are other ways we can do it as

2:04 well though if you find something that's quite difficult. If we're finding our

2:07 three times, we can just add our one times and our two times together, which

2:12 is a little bit like column addition. So I know that's going to be 11. And then

2:18 my one and my three and my one will give me 51.

2:22 Now my five times again I could use that method. I could do my two times add my

2:27 three times. That's 85. Or five times could be half of my 10 times. But I

2:32 think I'll stick to the two times add three times. That would give me 85.

2:38 My six times again I can see that's actually double my three times. It's

2:42 double 51 would give me 102. Then we've got seven times. Again, we

2:50 could use a method such as adding my two times, add my five times. Or I could do

2:55 my six times, add another 17, which I think that's probably the easiest one

3:00 because then I know two add 17 is 19. So, we've got 119.

3:06 my nine times. Again, I could do systems like five, add the four, or we could

3:11 just add 17 onto 136, which will give me 153. Again, I could have just done some

3:20 column addition up in the side to help me with that step.

3:25 The system that we've been using to help the children remember the steps to use

3:30 long division is divide then to multiply

3:38 to subtract and to bring down. So at the top of

3:44 every question the children have been doing they've been writing those four

3:48 steps. So now we've got all the multiples and

3:51 we can start by how many groups of 17 there are in the number seven. And we

3:58 can see there aren't any. So we can put a zero there. Sometimes that just helps

4:03 just in case we put the numbers in the wrong place. We can say there's no 17,

4:08 no groups of 17 in the seven. So I'm going to go to the 77 hundreds instead.

4:14 How many groups I can see there. So, what the children have been doing with

4:17 us is we'll look at our multiples of 17, but we can't go over the number 77. So,

4:23 we're going to go one, two, three, four. There are four groups of 17. So, put the

4:29 four here. That's our divide. The next step is to multiply. So, now they're

4:35 doing four * 17, which will give us 68.

4:43 Next step will be to subtract it. So I'm going to put the subtract sign in there.

4:49 Put a little equals bar and my subtract will be the 77 take away

4:55 68 which will give us 9. Sometimes the

5:00 children might still do 8 takeway 7, but we're reminding them that either you can

5:04 count up from 68 or we could do an exchange if they're more confident um

5:09 using column um subtraction. We've done our subtracting. Now I'm

5:15 going to bring it down the next digit to be 95.

5:20 So we've done all those four steps. We're now repeating it again. We're now

5:24 going to go back to dividing. We're looking at 95 now, which is actually 95

5:29 tens. So, we're looking at 95. So, we'll look at our multiples again. We've got 1

5:34 2 3 4 5 groups of 17. So, I'll put five there. There's my divide. Now, I'm going

5:43 to go back to my 17 multiplied by five, which gives me 85. There's my multiply.

5:51 Now, I'm going to subtract it. my equals bar and 95 take 85 gives us 10

6:00 and then we're going to bring down bring down that two. We now have 102

6:08 ones. So we're going to go back to our multiples. We got 1 2 3 4 5 6 because 6

6:16 * 17 gives me 102. Let's subtract it

6:24and we can see we have remainder zero. And then when we go on to the harder

6:28 questions, there may well be remainders. But for now, we don't need to write

6:32 remainder zero. We can finish our equation.

6:39 And that leaves us with our quotient. For those children who fancy an extra

6:44 challenge, you could then try the inverse and try your 456

6:50 multiplied by 17 and practice your long multiplication skills where you should

6:55 get back to the answer 7,752. We hope you enjoy trying it out. Bye for

7:02 now

 

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As a reminder, this is

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• Mathsbot - https://mathsbot.com/
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